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Finding the Fourth Proportional to 2,506, 3,756.50 and 1,206.76

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Solution

The fourth proportional to 2,506, 3,756.50 and 1,206.76 is: 1,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506 : 3,756.50 = 1,206.76 : x
  2. Step 2: Convert to fraction form
    2,506/3,756.50 = 1,206.76/x
  3. Step 3: Cross multiply
    2,506x = 3,756.50 × 1,206.76
  4. Step 4: Simplify right side
    2,506x = 4,533,193.94
  5. Step 5: Solve for x
    x = 4,533,193.94/2,506
  6. Step 6: Final answer
    x = 1,808.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.